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38128442 = 2114121031
BaseRepresentation
bin1001000101110…
…0101100111010
32122202010101112
42101130230322
534230102232
63441120322
7642041432
oct221345472
978663345
1038128442
111a582510
12109290a2
137b8ca11
1450c72c2
1535324b2
hex245cb3a

38128442 has 24 divisors (see below), whose sum is σ = 64012896. Its totient is φ = 16892000.

The previous prime is 38128439. The next prime is 38128499. The reversal of 38128442 is 24482183.

38128442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38128399 and 38128408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36467 + ... + 37497.

It is an arithmetic number, because the mean of its divisors is an integer number (2667204).

Almost surely, 238128442 is an apocalyptic number.

38128442 is a deficient number, since it is larger than the sum of its proper divisors (25884454).

38128442 is a wasteful number, since it uses less digits than its factorization.

38128442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1085 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 38128442 is about 6174.8232363364. The cubic root of 38128442 is about 336.5759031652.

The spelling of 38128442 in words is "thirty-eight million, one hundred twenty-eight thousand, four hundred forty-two".

Divisors: 1 2 11 22 41 82 451 902 1031 1681 2062 3362 11341 18491 22682 36982 42271 84542 464981 929962 1733111 3466222 19064221 38128442